111 citations · 241 across the 28 of their papers we have counts for
33 papers
Generation of vortices in the Ginzburg-Landau heat flow
Michał Kowalczyk, Xavier Lamy
We consider the Ginzburg-Landau heat flow on the two-dimensional flat torus, starting from an initial data with a finite number of nondegenerate zeros -- but possibly very high ini…
Kink dynamics under odd perturbations for (1+1)-scalar field models with one internal mode
Michał Kowalczyk, Yvan Martel
We consider odd symmetric (1+1)-scalar field models with one internal mode. Under natural and robust assumptions, including the Fermi golden rule, we prove the asymptotic stability…
Phase separating solutions for two component systems in general planar domains
Michał Kowalczyk, Angela Pistoia, Giusi Vaira
In this paper we consider a two component system of coupled non linear Schrödinger equations modeling the phase separation in the binary mixture of Bose-Einstein condensates and ot…
Entire vortex solutions of negative degree for the anisotropic Ginzburg-Landau system
Michał Kowalczyk, Xavier Lamy, Panayotis Smyrnelis
The anisotropic Ginzburg-Landau system \[ Δu+δ\, \nabla (\mathrm{div}\: u) +δ\, \mathrm{curl}^*(\mathrm{curl}\: u)=(|u|^2-1) u, \] for and $δ\in…
Sine-Gordon on a wormhole
Piotr Bizoń, Maciej Dunajski, Michał Kahl +1
In an attempt to understand the soliton resolution conjecture, we consider the Sine-Gordon equation on a spherically symmetric wormhole spacetime. We show that within each topologi…
Exotic states of matter in an oscillatory driven liquid crystal cell
Marcel G. Clerc, Michal Kowalczyk, Valeska Zambra
Matter under different equilibrium conditions of pressure and temperature exhibits different states such as solid, liquid, gas, and plasma. Exotic states of matter, such as Bose- E…